Nonlinear Filters for Image Processing

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This text covers key mathematical principles and algorithms for nonlinear filters used in image processing. Readers will gain an in-depth understanding of the underlying mathematical and filter design methodologies needed to construct and utilize nonlinear filters in a variety of applications.

"...readers will gain an in-depth understanding of the underlying mathematical & filter design methodologies needed to construct & utilize nonlinear filters in a variety of applications."

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Editorial Reviews

Written for mathematicians and engineers with a good mathematical background, 11 chapters cover key principles and algorithms for nonlinear filters. Topics of contemporary interest are discussed as well as fundamentals drawn from nonlinear filtering's historical roots in mathematical morphology and digital signaling processing. Topics include invariant signals of median and stack filters, applications of binary polynomial transforms, and connected operators. Annotation c. Book News, Inc., Portland, OR (
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Product Details

  • ISBN-13: 9780819430335
  • Publisher: SPIE Press
  • Publication date: 3/1/1999
  • Series: Press Monographs
  • Pages: 470

Table of Contents

Ch. 1 Logical Image Operators 1
Ch. 2 Computational Gray-Scale Operators 61
Ch. 3 Translation-Invariant Set Operators 99
Ch. 4 Granulometric Filters 121
Ch. 5 Easy Recipes for Morphological Filters 163
Ch. 6 Introduction to Connected Operators 207
Ch. 7 Representation and Optimization of Stack Filters 237
Ch. 8 Invariant Signals of Median and Stack Filters 281
Ch. 9 Binary Polynomial Transforms and Logical Correlation 299
Ch. 10 Applications of Binary Polynomial Transforms 355
Ch. 11 Random Sets in View of Image Filtering Applications 419
Index 449
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